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References:
[An97] Factorization in Integral Domains. (D. D. Anderson, ed.), Based on the proceedings of the conference, March 21, 1996, and the special session in commutative ring theorу, March 22-23, 1996, at the 909th meeting of the Amer. Math. Soc, Iowa City, IA, USA. Lecture Notes in Pure and Appl. Math. 189, Marcel Dekker, New York, NY, 1997. MR 1460766
[Car] CARLITZ L.: A Characterization of algebraic number fields with class number two. Proc Amer. Math. Soc 11 (1960), 391-392. MR 0111741 | Zbl 0202.33101
[Ch-Ge97] CHAPMAN S.-GEROLDINGER A.: Krull domains and monoids, their sets of lengths and associated combinatorial problems. In: Factorization in Integral Domains (D. D. Anderson, ed.), Based on the proceedings of the conference, March 21, 1996, and the special session in commutative ring theory, March 22-23, 1996, at the 909th meeting of the Amer. Math. Soc, Iowa City, IA, USA. Lecture Notes in Pure and Appl. Math. 189, Marcel Dekker, New York, 1997, pp. 73-112. MR 1460769
[Ch-Sm03] CHAPMAN S. T. SMITH W. W.: On factorization in block monoids formed by $\{\overline{l},\overline{a}\}$ in $\mathbb Z_n$. Proc. Edinb. Math. Soc (2) 46 (2003), 257-267. MR 1998399
[Ga-Ge98] GAO W.-GEROLDINGER A.: Half-factorial domains and half-factorial subsets in abelian groups. Houston J. Math. 24 (1998), 593-611. MR 1686626
[Ga-GeOO] GAO W.-GEROLDINGER A.: Systems of sets of lengths II. Abhandl. Math. Sem. Univ. Hamburg 70 (2000), 31-49. MR 1809532 | Zbl 1036.11054
[Ga-Ge02] GAO W.-GEROLDINGER A.: On the order of elements in long minimal zero-sum sequences. Period. Math. Hungar. 44 (2002), 63-73. MR 1892274 | Zbl 1017.20043
[Ge87] GEROLDINGER A.: On non-unique factorizations into irreducible elements II. In: Colloq. Math. Soc Janos Bolyai 51, North Holland, Amsterdam, 1987, pp. 723-757.
[Ge94] GEROLDINGER A.: T-block monoids and their arithmetical applications to certain integral domains. Comm. Algebra 22 (1994), 1603-1615. MR 1264730 | Zbl 0809.13013
[Ge-HK92] GEROLDINGER A.-HALTER-KOCH F.: Non-unique factorizations in block semigroups and arithmetical applications. Math. Slovaca 42 (1992), 641-661. MR 1202179 | Zbl 0765.11045
[Ge-Ka92] GEROLDINGER A.-KACZOROWSKI J. : Analytic and arithmetic theory of semigroups with divisor theory. Sem. Theor. Nombres Bordeaux (2) 4 (1992), 199-238. MR 1208863 | Zbl 0780.11046
[HK97] HALTER-KOCH F.: Finitely generated monoids, finitely primary monoids and factorization properties of integral domains. In: Factorization in Integral Domains (D. D. Anderson, ed.), Based on the proceedings of the conference, March 21, 1996, and the special session in commutative ring theory March 22-23, 1996, at the 909th meeting of the Amer. Math. Soc, Iowa City IA, USA. Lecture Notes in Pure and Appl. Math. 189, Marcel Dekker, New York, 1997, pp. 31-72. MR 1460768
[HK98] HALTER-KOCH F.: Ideal Systems. An Introduction to Multiplicative Ideal Theory. Pure and Applied Mathematics, Marcel Dekker 211, New York, 1998. MR 1828371 | Zbl 0953.13001
[Na79] NARKIEWICZ W.: Finite abelian groups and factorization problems. Colloq. Math. 17 (1979), 319-330. MR 0567570 | Zbl 0514.12004
[Sch03] SCHMID W. A.: Half-factorial sets in elementary p-groups. Far East J. Math. Sci. (To appear). MR 2255073 | Zbl 1120.20055
[Sch03] SCHMID W. A.: Differences in sets of lengths of Krull monoids with finite class group. J. Theor. Nombres Bordeaux (To appear). MR 2152227 | Zbl 1090.20034
[Sk76] SKULA L.: On c-semigroups. Acta Arith. 31 (1976), 247-257. MR 0444817 | Zbl 0303.13014
[S176] SLIWA J.: Factorizations of distinct length in algebraic number fields. Acta Arith. 31 (1976), 399-417. MR 0429830
[Za7б] ZAKS A.: Half factorial domains. Bull. Amer. Math. Soc. 82 (1976), 721-723. MR 0407001 | Zbl 0338.13020

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